What is 8/(sqrt(40)) ?

The solution to 8/(sqrt(40)) is (2sqrt(2))/(sqrt(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8/(sqrt(40))

simplify

\frac{8}{40}

\frac{2 2}{5}

Solution steps

\frac{8}{40}

Factor the number:

8 = 2^{3}

= \frac{2 ^{3}}{40}

Factor

40 : 210

= \frac{2 ^{3}}{2 10}

\frac{2 ^{3}}{2} = 2^{2}

= \frac{2 ^{2}}{10}

Factor

10 : 25

= \frac{2 ^{2}}{2 5}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{2} = 2 \cdot 2

= \frac{2 \cdot 2}{2 5}

Apply radical rule:

a = a a

2 = 22

= \frac{2 2 \cdot 2}{2 5}

Cancel the common factor:

2

= \frac{2 \cdot 2}{5}

= \frac{2 2}{5}

p^{3} (p^{2} - p^{- 3})

3 x^{2} \cdot 6

(y + 3)^{3} + (y - 3)^{3} - 54 y

(- 6) - 3